Question: Question 3. Students are required to create 6-character long passwords to access the library. The letters must be from lowercase letters or digits. Each password

Question 3.

Students are required to create 6-character long passwords to access the library. The letters must be from lowercase letters or digits. Each password must contain at most three lowercase-letters and contains no repeated digits. How many valid passwords are there? You are required to show your work step-by-step. [9 marks]

Note:1hfg21is invalid because 1 appears more than once. 134ggg is valid because there are 3 lower-case letters, and no digits is repeated.

Please explain the answer in full! Many thanks!

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